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Simplifying 99 = 0.375(g + 2) + 12(g + 2) Reorder the terms: 99 = 0.375(2 + g) + 12(g + 2) 99 = (2 * 0.375 + g * 0.375) + 12(g + 2) 99 = (0.75 + 0.375g) + 12(g + 2) Reorder the terms: 99 = 0.75 + 0.375g + 12(2 + g) 99 = 0.75 + 0.375g + (2 * 12 + g * 12) 99 = 0.75 + 0.375g + (24 + 12g) Reorder the terms: 99 = 0.75 + 24 + 0.375g + 12g Combine like terms: 0.75 + 24 = 24.75 99 = 24.75 + 0.375g + 12g Combine like terms: 0.375g + 12g = 12.375g 99 = 24.75 + 12.375g Solving 99 = 24.75 + 12.375g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12.375g' to each side of the equation. 99 + -12.375g = 24.75 + 12.375g + -12.375g Combine like terms: 12.375g + -12.375g = 0.000 99 + -12.375g = 24.75 + 0.000 99 + -12.375g = 24.75 Add '-99' to each side of the equation. 99 + -99 + -12.375g = 24.75 + -99 Combine like terms: 99 + -99 = 0 0 + -12.375g = 24.75 + -99 -12.375g = 24.75 + -99 Combine like terms: 24.75 + -99 = -74.25 -12.375g = -74.25 Divide each side by '-12.375'. g = 6 Simplifying g = 6
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